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Quantum random walk on the dual of SU (n)
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  • Published: March 1991

Quantum random walk on the dual of SU (n)

  • Philippe Biane1 

Probability Theory and Related Fields volume 89, pages 117–129 (1991)Cite this article

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Summary

We study a quantum random walk onA(SU(n)), the von Neumann algebra of SU(n), obtained by tensoring the basic representation of SU(n). Two classical Markov chains are derived from this quantum random walk, by restriction to commutative subalgebras ofA(SU(n)), and the main result of the paper states that these two Markov chains are related by means of Doob'sh-processes.

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Authors and Affiliations

  1. Laborative de probabilités, Tour 56-66, 3e étage, Université Paris 6, 4 place Jussieu, F-75252, Paris Cedex 05, France

    Philippe Biane

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  1. Philippe Biane
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Biane, P. Quantum random walk on the dual of SU (n). Probab. Th. Rel. Fields 89, 117–129 (1991). https://doi.org/10.1007/BF01225828

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  • Received: 05 July 1990

  • Issue Date: March 1991

  • DOI: https://doi.org/10.1007/BF01225828

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Keywords

  • Markov Chain
  • Stochastic Process
  • Random Walk
  • Probability Theory
  • Mathematical Biology
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